Refined q-Trinomial Coefficients and Character Identities

2000/05/12 by S. Ole Warnaar · 11 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Applied mathematics #Character (mathematics) #Combinatorics #Mathematics #Property (philosophy) #Pure mathematics #Trinomial #math.CO #math.QA #msc:05A10 #msc:05A30 #msc:17B68

paper · pdf · doi:10.1023/a:1004827709169

published in Journal of Statistical Physics 102(3-4), 1065-1081 (Springer Science+Business Media) · 17 pages, 1 figure, submitted to the proceedings of The Baxter Revolution in Mathematical Physics

arxiv created 2000/05/12 · openalex publication_date 2001/02/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A refinement of the q-trinomial coefficients is introduced, which has a very powerful iterative property. This ``T-invariance'' is applied to derive new Virasoro character identities related to the exceptional simply-laced Lie algebras E₆,E₇ and E₈.

Citations

• A Trinomial Analogue of Bailey's Lemma and N = 2 Superconformal Invariance
• The generalized Borwein conjecture. II. Refined q-trinomial coefficients

Cited by

• On double sum generating functions in connection with some classical partition theorems